The 25-year-old has also been strongly linked with a return to Juventus, who still own 50 per cent of the striker.
Giovinco’s agent, Andrea D’Amico, claims Juventus now face competition from Barcelona for his client.
“The interest of a club like Barcelona is always nice,” D’Amico told Sportal.it.
“Giovinco is now a major player of great talent and great technique who is now realising his potential, so it’s normal that there is interest.
“As for his future? First we must find a solution regarding the ownership between Juventus and Parma. I think this is a necessary step.”